Introduction to Assigning (R) and (S): The Cahn-Ingold-Prelog Rules

by James

in Stereochemistry

This post was co-authored by Matt Pierce of Organic Chemistry Solutions.  Ask Matt about scheduling an online tutoring session here.

Previously on MOC we’ve described enantiomers: molecules that are non-superimposable mirror images of each other. Perhaps the most memorable example is these “enantiocats”.

enantiocats

(Not getting it? Look at the color of the legs).

Each of these cats is said to be “chiral”: they lack a plane of symmetry.

What causes molecules to have chirality?

The most common source of chirality is a “chiral centre”: typically a tetrahedral  carbon attached to four different “groups”, or “substituents”.  For each chiral centre there are two (and only two!) different ways of arranging the 4 different substituents, which gives rise to two different configurations. [If you don’t believe there are only two, check out this post].

The purpose of this post is to introduce and describe the nomenclature we use to describe these configurations: the (R)/(S) notation, or Cahn-Ingold Prelog Rules.

Let’s look at a simple example.

1-stereochem

Both of these molecules are 1-bromo-1-chloroethane. But they are not exactly the same molecule, in the same way that your left shoe is not exactly the same as your right. They are non-superimposable mirror images of each other. How do we communicate this difference?

One way would be to describe their physical properties. For example, although these two molecules have the same boiling point, melting point, and share many other physical properties, they rotate plane-polarized light in equal and opposite directions, a property called optical rotation. We could use (+)-1-bromo-1-chloroethane to refer to the isomer that rotates polarized light to the right (clockwise, or “dextrorotatory”) and use (-)-1-bromo-1-chloroethane to refer to the isomer that rotates polarized light to the left (counterclockwise, or “levorotatory”).

However this nomenclature suffers from a serious problem. There is no simple correlation between the arrangement of substituents around a chiral centre and the direction in which polarized light is rotated. Another solution is needed.

The Cahn Ingold Prelog (CIP) System For Naming Chiral Centers

A solution to this quandary was proposed by Robert Cahn, Chris Ingold, and Vladimir Prelog in 1966. The resulting “CIP” protocol works as follows:

  1. Prioritize the four groups around a chiral center according to atomic number. The highest atomic number is assigned priority #1, and the lowest atomic number is assigned priority #4.
  2. Orient the chiral centre such that the #4 priority substituent is pointing away from the viewer. For our purposes, it’s enough for it merely to be attached to a “dashed” bond.
  3. Trace the path of priorities #1, #2 and #3. (For this part you ignore #4).
    1. If the path traced from 1-2-3   is clockwise, the chiral center is assigned (R) (from Latin, rectus)
    2. If the path traced is counter clockwise, the chiral center is assigned (S) (from the Latin sinister)
    3. Now we have a better way to describe molecules [A] and [B] shown above. Molecule [A] is named (R)-1-bromo-1-chloroethane, and molecule [B] is named (S)-1-bromo-1-chloroethane:

2-stereochem

We should reiterate that the designations (R) and (S) bear no relationship to whether a molecule rotates plane-polarized light clockwise (+) or counterclockwise (-). For example the most common naturally occurring configuration of the amino acid alanine is (S), but its optical rotation (in aqueous acid solution) is (+).

Dealing With Trickier Cases

That seems simple enough! “Is that it?”, you might ask.

Uh, no. As it happens, there’s a few bumps in the road toward determining (R)/(S) once we get beyond the simple example above.

These “trickier cases” fall into three main categories.

  1. What if the #4 substituent is not helpfully pointing away from the viewer, as it was in our example above? What if it’s in the “front” (i.e. attached to a “wedged” bond) or, heaven forbid, in the plane of the page?
  2. Assigning priorities in complex situations. What do we do in situations where a chiral centre has two or more identical atoms attached? In other words, how do we break ties? 
  3. What do we do if the molecule is drawn a peculiar way, such as in Fischer or Newman projections?

We’re not going to be able to fully address all of these issues in this post. But we can certainly deal with #1 and make some headway with #2. We’ll deal with #3 in a future post.

 Determining R/S When The #4 Substituent Is In Front (i.e. on a “Wedge”): A Short Cut

Let’s first consider the molecule below. The name of this molecule is (R)-1-fluoroethanol. It is listed below with priorities assigned based on atomic number. In this case F>O>C>H. So F is #1 and H is #4. The tricky part here is that the #4 priority is pointing out of the page (on a “wedge”).

3-fluoroethanol

How do we determine (R)/(S) in this case?  There are two ways to do it.

Many instructors will tell you to “simply” rotate the molecule in your head so that the #4 priority is on a dash. Then you can assign R or S in the traditional way. This “simple” advice is not always an easy task for beginners.

4a-rs

Thankfully, it is technically unnecessary to perform such a mental rotation.

Here’s  a way around this. When the #4 priority is on a wedge you can just reverse the rules. So now we have two sets of rules:

If the #4 priority is on a dash:

  • Clockwise = R
  • Counterclockwise = S

If the #4 priority is on a wedge, reverse the typical rules:

  • Clockwise = S
  • Counterclockwise = R

4b-rs

R and S can easily be assigned to either picture of the molecule. I still encourage you to use a model kit and learn how to do so, however. Organic chemistry is much easier to understand, and much more beautiful, if you can master how to visualize a tetrahedral carbon atom.

What If The #4 Group Is In The Plane Of The Page?

What if the #4 priority is in the plane of the paper, for example on a line? In this case it’s impossible to assign R and S in the traditional way. You’d have a 50:50 shot of getting it correct: not good odds. Again, if you can redraw the molecule in your head, then it’s better to just do that. If you can’t do this reliably then you need to learn the “single swap” concept.

Here’s how it works. Swapping any two groups on a chiral centre will flip the configuration of the chiral centre from R to S (and vice versa). [We previously talked about the “single swap rule” here]

Knowing this, we can do a nifty trick.

  1. Take the #4 substituent (in the plane of the page) and swap it with the substituent in the back [If the configuration is R, this will switch it to S. If the configuration is S, this will flip it to R. We’ll need to account for this in step #3].
  2. Redraw the chiral centre, and determine R/S on the new chiral centre which now has group #4 in the back.
  3.  Whatever result you got, flip it to its opposite to account for the fact that you did a single swap in step #1.

Here’s an example. Note that here  I first switched #4 and #3, but the main point is to switch two groups so that #4 is out of the plane of the paper.

5-in-plane-of-page

This method always works, assuming you’ve determined the four priorities accurately. (It also works for cases when #4 is on a wedge).

However, sometimes we’re not in the position of dealing with 4 different atoms attached to a chiral carbon. For instance, it’s possible to have chiral carbons which are attached to 4 carbons. So how do we break the ties in these cases?

6-tie

Determining Priorities: Breaking “Ties” With The “Dot Technique”

The quick answer is to use the “dot technique”. Here’s how it works. Let’s do it for 3-ethyl-3-methyloctane, above.

  1. Go outward from the chiral centre to each of the surrounding 4 atoms and assign priorities (based on atomic number) to each of these atoms. [Sometimes it’s helpful to draw dots on each of these atoms.]

7a
2. If there is a tie, list the atoms attached to each of those dotted atoms in decreasing order of atomic number.

7b

3. Compare each list, atom by atom. In our example, since C>H, (C,H,H) takes priority over (H,H,H) so the CH3 group is assigned priority #4.

7c

4. If there is still a tie, move the dots to the highest ranking atom in the list (i.e. the atom with highest atomic number). The dots are helpful because they help you to keep track of where you are, which can be important in complex examples.

7d

5. In this case, we keep moving along the chain. By the way, if you ever reach the end of the chain without determining a difference, that means that the groups are identical and it isn’t a chiral centre after all.

7e-methodofdots

6. By this point we have enough information to assign (R)/(S). Since priority #4 is in the front, we can also break out our “opposite rule” for good measure:

7f-assignrs

In the next post we’ll go into some trickier examples with determining R/S, including how to deal with double bonds, rings, and isotopes. In a future post, we’ll get into determining R/S in the Fischer and Newman projections.

Thanks to Matt Pierce for making major contributions to this article.  

Ask Matt about scheduling an online tutoring session here.

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